Orders 1, 2, 4, 8, 12 are unique.

Order 16: 5 (Marshall Hall Jr)

Order 20: 3 (Marshall Hall Jr)

Order 24: 60 (Norburo Ito and others)

Order 28: 487 (H. Kimura)

Order 32: more than 3,578,006 see Will Orrick http://www.arxiv.org/abs/math.CO/0507515

Order 36: more than 18,292,717 see Will Orrick http://www.arxiv.org/abs/math.CO/0507515

Orders 40-100: see Christos Koukouvinos http://www.math.ntua.gr/people/ckoukouv/en_index.html

This page, created, 14th December 2005, updated 23rd July 2014, will be made more precise at a future date. Comment to j.seberry@uow.edu.au.